Problem 10 [Marks 2.0]

A steady, incompressible, parallel and a laminar flow of a viscous

fluid is falling between two infinite vertical walls (as shown in the

Figure). The distance between the walls is t, and the gravity acts in Fixed

the negative z-direction (downward in the figure). There is no applied wall

(forced) pressure driving the flow-the fluid falls by gravity alone and

hence pressure can be assumed constant everywhere in the flow field.

Fluid:

P.H

a) Calculate the velocity field for these flow conditions by

following a step-by-step procedure for differential fluid flow

solutions.

b) Sketch the velocity profile using appropriate nondimensionalised variables.

Fixed

wall

Tex